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35% of Daniel's savings is equal to 50% of Matthew's savings. What is the ratio of Daniel's savings to Matthew's savings? Express your answer in the simplest form

Question

35% of Daniel's savings is equal to 50% of Matthew's savings. What is the ratio of Daniel's savings to Matthew's savings? Express your answer in the simplest form

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Solution

Let's denote Daniel's savings as D and Matthew's savings as M.

According to the problem, 35% of Daniel's savings is equal to 50% of Matthew's savings. We can write this as an equation:

0.35D = 0.50M

To find the ratio of Daniel's savings to Matthew's savings (D:M), we can rearrange the equation to solve for D/M:

D/M = 0.50/0.35

Simplify the fraction to get the ratio in simplest form:

D/M = 10/7

So, the ratio of Daniel's savings to Matthew's savings is 10:7.

This problem has been solved

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